Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth 
and
Number of pieces for white cloth 
Simplifying-
(6d^2)(-7d)=
= -(42d^2)(d)
=-42d^3
I believe it is (3*4*4*4)/16=12
hopefully its right and it helped!
Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
Subtract n to get all of your variables to one side:
At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
Now divide both sides by 11 to get the value of n:
Answer: Option C
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
In this problem we have the function 
and our parent function is 
therefore it is true that 
Therefore the graph of 
is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
